TSTP Solution File: SYN451+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN451+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 02:03:18 EDT 2023
% Result : Theorem 0.51s 0.73s
% Output : Proof 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN451+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.12 % Command : do_cvc5 %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 19:39:20 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.51/0.73 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.y91FvdxJXk/cvc5---1.0.5_8620.p...
% 0.51/0.73 ------- get file name : TPTP file name is SYN451+1
% 0.51/0.73 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8620.smt2...
% 0.51/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.51/0.73 % SZS status Theorem for SYN451+1
% 0.51/0.73 % SZS output start Proof for SYN451+1
% 0.51/0.73 (
% 0.51/0.73 (let ((_let_1 (tptp.c2_1 tptp.a750))) (let ((_let_2 (tptp.c1_1 tptp.a750))) (let ((_let_3 (tptp.c0_1 tptp.a750))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.c3_1 tptp.a737))) (let ((_let_6 (tptp.c2_1 tptp.a737))) (let ((_let_7 (tptp.c1_1 tptp.a737))) (let ((_let_8 (and tptp.ndr1_0 _let_7 _let_6 _let_5))) (let ((_let_9 (tptp.c3_1 tptp.a729))) (let ((_let_10 (tptp.c2_1 tptp.a729))) (let ((_let_11 (tptp.c0_1 tptp.a729))) (let ((_let_12 (and tptp.ndr1_0 _let_11 _let_10 _let_9))) (let ((_let_13 (tptp.c3_1 tptp.a802))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.c2_1 tptp.a802))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.c0_1 tptp.a802))) (let ((_let_18 (and tptp.ndr1_0 _let_17 _let_16 _let_14))) (let ((_let_19 (tptp.c3_1 tptp.a798))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.c1_1 tptp.a798))) (let ((_let_22 (tptp.c0_1 tptp.a798))) (let ((_let_23 (and tptp.ndr1_0 _let_22 _let_21 _let_20))) (let ((_let_24 (tptp.c2_1 tptp.a797))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.c1_1 tptp.a797))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.c3_1 tptp.a797))) (let ((_let_29 (and tptp.ndr1_0 _let_28 _let_27 _let_25))) (let ((_let_30 (tptp.c2_1 tptp.a793))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.c3_1 tptp.a793))) (let ((_let_33 (tptp.c0_1 tptp.a793))) (let ((_let_34 (and tptp.ndr1_0 _let_33 _let_32 _let_31))) (let ((_let_35 (tptp.c3_1 tptp.a779))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.c1_1 tptp.a779))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.c2_1 tptp.a779))) (let ((_let_40 (and tptp.ndr1_0 _let_39 _let_38 _let_36))) (let ((_let_41 (tptp.c3_1 tptp.a777))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.c0_1 tptp.a777))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.c2_1 tptp.a777))) (let ((_let_46 (and tptp.ndr1_0 _let_45 _let_44 _let_42))) (let ((_let_47 (tptp.c3_1 tptp.a775))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.c2_1 tptp.a775))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.c1_1 tptp.a775))) (let ((_let_52 (and tptp.ndr1_0 _let_51 _let_50 _let_48))) (let ((_let_53 (tptp.c3_1 tptp.a764))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.c2_1 tptp.a764))) (let ((_let_56 (tptp.c0_1 tptp.a764))) (let ((_let_57 (and tptp.ndr1_0 _let_56 _let_55 _let_54))) (let ((_let_58 (tptp.c1_1 tptp.a759))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.c3_1 tptp.a759))) (let ((_let_61 (tptp.c2_1 tptp.a759))) (let ((_let_62 (and tptp.ndr1_0 _let_61 _let_60 _let_59))) (let ((_let_63 (tptp.c3_1 tptp.a749))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.c1_1 tptp.a749))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.c0_1 tptp.a749))) (let ((_let_68 (not _let_67))) (let ((_let_69 (and tptp.ndr1_0 _let_68 _let_66 _let_64))) (let ((_let_70 (tptp.c2_1 tptp.a748))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.c1_1 tptp.a748))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.c0_1 tptp.a748))) (let ((_let_75 (not _let_74))) (let ((_let_76 (and tptp.ndr1_0 _let_75 _let_73 _let_71))) (let ((_let_77 (tptp.c2_1 tptp.a746))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.c0_1 tptp.a746))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.c3_1 tptp.a746))) (let ((_let_82 (and tptp.ndr1_0 _let_81 _let_80 _let_78))) (let ((_let_83 (tptp.c1_1 tptp.a744))) (let ((_let_84 (not _let_83))) (let ((_let_85 (tptp.c0_1 tptp.a744))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.c3_1 tptp.a744))) (let ((_let_88 (and tptp.ndr1_0 _let_87 _let_86 _let_84))) (let ((_let_89 (not tptp.hskp8))) (let ((_let_90 (tptp.c0_1 tptp.a741))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.c3_1 tptp.a741))) (let ((_let_93 (tptp.c1_1 tptp.a741))) (let ((_let_94 (and tptp.ndr1_0 _let_93 _let_92 _let_91))) (let ((_let_95 (tptp.c2_1 tptp.a738))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.c0_1 tptp.a738))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.c1_1 tptp.a738))) (let ((_let_100 (and tptp.ndr1_0 _let_99 _let_98 _let_96))) (let ((_let_101 (tptp.c0_1 tptp.a735))) (let ((_let_102 (not _let_101))) (let ((_let_103 (tptp.c3_1 tptp.a735))) (let ((_let_104 (tptp.c2_1 tptp.a735))) (let ((_let_105 (and tptp.ndr1_0 _let_104 _let_103 _let_102))) (let ((_let_106 (tptp.c3_1 tptp.a734))) (let ((_let_107 (not _let_106))) (let ((_let_108 (tptp.c0_1 tptp.a734))) (let ((_let_109 (not _let_108))) (let ((_let_110 (tptp.c1_1 tptp.a734))) (let ((_let_111 (and tptp.ndr1_0 _let_110 _let_109 _let_107))) (let ((_let_112 (tptp.c1_1 tptp.a733))) (let ((_let_113 (not _let_112))) (let ((_let_114 (tptp.c0_1 tptp.a733))) (let ((_let_115 (not _let_114))) (let ((_let_116 (tptp.c2_1 tptp.a733))) (let ((_let_117 (and tptp.ndr1_0 _let_116 _let_115 _let_113))) (let ((_let_118 (tptp.c3_1 tptp.a732))) (let ((_let_119 (not _let_118))) (let ((_let_120 (tptp.c2_1 tptp.a732))) (let ((_let_121 (not _let_120))) (let ((_let_122 (tptp.c0_1 tptp.a732))) (let ((_let_123 (not _let_122))) (let ((_let_124 (and tptp.ndr1_0 _let_123 _let_121 _let_119))) (let ((_let_125 (tptp.c2_1 tptp.a731))) (let ((_let_126 (not _let_125))) (let ((_let_127 (tptp.c3_1 tptp.a731))) (let ((_let_128 (tptp.c1_1 tptp.a731))) (let ((_let_129 (and tptp.ndr1_0 _let_128 _let_127 _let_126))) (let ((_let_130 (tptp.c1_1 tptp.a730))) (let ((_let_131 (not _let_130))) (let ((_let_132 (tptp.c3_1 tptp.a730))) (let ((_let_133 (tptp.c0_1 tptp.a730))) (let ((_let_134 (and tptp.ndr1_0 _let_133 _let_132 _let_131))) (let ((_let_135 (not tptp.hskp0))) (let ((_let_136 (not (not (and (or _let_135 _let_134) (or (not tptp.hskp1) _let_129) (or (not tptp.hskp2) _let_124) (or (not tptp.hskp3) _let_117) (or (not tptp.hskp4) _let_111) (or (not tptp.hskp5) _let_105) (or (not tptp.hskp6) _let_100) (or (not tptp.hskp7) _let_94) (or _let_89 _let_88) (or (not tptp.hskp9) _let_82) (or (not tptp.hskp10) _let_76) (or (not tptp.hskp11) _let_69) (or (not tptp.hskp12) (and tptp.ndr1_0 (tptp.c1_1 tptp.a755) (tptp.c2_1 tptp.a755) (not (tptp.c3_1 tptp.a755)))) (or (not tptp.hskp13) _let_62) (or (not tptp.hskp14) (and tptp.ndr1_0 (tptp.c0_1 tptp.a762) (not (tptp.c1_1 tptp.a762)) (not (tptp.c2_1 tptp.a762)))) (or (not tptp.hskp15) (and tptp.ndr1_0 (tptp.c0_1 tptp.a763) (tptp.c1_1 tptp.a763) (not (tptp.c2_1 tptp.a763)))) (or (not tptp.hskp16) _let_57) (or (not tptp.hskp17) (and tptp.ndr1_0 (tptp.c1_1 tptp.a766) (tptp.c2_1 tptp.a766) (not (tptp.c0_1 tptp.a766)))) (or (not tptp.hskp18) _let_52) (or (not tptp.hskp19) _let_46) (or (not tptp.hskp20) _let_40) (or (not tptp.hskp21) _let_34) (or (not tptp.hskp22) _let_29) (or (not tptp.hskp23) _let_23) (or (not tptp.hskp24) _let_18) (or (not tptp.hskp25) _let_12) (or (not tptp.hskp26) _let_8) (or (not tptp.hskp27) _let_4) (or (not tptp.hskp28) (and tptp.ndr1_0 (tptp.c0_1 tptp.a784) (tptp.c1_1 tptp.a784) (tptp.c3_1 tptp.a784))) (or (forall ((U $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U)))) (forall ((V $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 V) (tptp.c3_1 V) (not (tptp.c2_1 V))))) (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 W)) (not (tptp.c1_1 W)) (not (tptp.c2_1 W)))))) (or (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X) (tptp.c1_1 X) (tptp.c2_1 X)))) (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 Y) (not (tptp.c0_1 Y)) (not (tptp.c3_1 Y))))) tptp.hskp25) (or (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Z) (tptp.c1_1 Z) (tptp.c2_1 Z)))) tptp.hskp0 tptp.hskp1) (or (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c3_1 X1)))) (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X2) (tptp.c2_1 X2) (not (tptp.c3_1 X2))))) tptp.hskp2) (or (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X3) (tptp.c1_1 X3) (tptp.c3_1 X3)))) (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X4) (tptp.c3_1 X4) (not (tptp.c1_1 X4))))) tptp.hskp3) (or (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X5) (tptp.c1_1 X5) (tptp.c3_1 X5)))) (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X6) (not (tptp.c0_1 X6)) (not (tptp.c1_1 X6))))) (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X7)) (not (tptp.c1_1 X7)) (not (tptp.c3_1 X7)))))) (or (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X8) (tptp.c1_1 X8) (tptp.c3_1 X8)))) tptp.hskp4 tptp.hskp5) (or (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X9) (tptp.c1_1 X9) (not (tptp.c2_1 X9))))) (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X10) (tptp.c2_1 X10) (not (tptp.c1_1 X10))))) tptp.hskp0) (or (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X11) (tptp.c1_1 X11) (not (tptp.c2_1 X11))))) tptp.hskp26 tptp.hskp6) (or (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X12) (tptp.c1_1 X12) (not (tptp.c2_1 X12))))) tptp.hskp1 tptp.hskp2) (or (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X13) (tptp.c1_1 X13) (not (tptp.c3_1 X13))))) (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X14) (tptp.c3_1 X14) (not (tptp.c2_1 X14))))) tptp.hskp7) (or (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X15) (tptp.c1_1 X15) (not (tptp.c3_1 X15))))) (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X16) (not (tptp.c1_1 X16)) (not (tptp.c2_1 X16))))) tptp.hskp5) (or (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X17) (tptp.c1_1 X17) (not (tptp.c3_1 X17))))) (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X18) (tptp.c3_1 X18) (not (tptp.c0_1 X18))))) (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X19) (not (tptp.c0_1 X19)) (not (tptp.c1_1 X19)))))) (or (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X20) (tptp.c1_1 X20) (not (tptp.c3_1 X20))))) (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X21) (not (tptp.c0_1 X21)) (not (tptp.c2_1 X21))))) tptp.hskp4) (or (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X22) (tptp.c2_1 X22) (tptp.c3_1 X22)))) (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X23) (tptp.c3_1 X23) (not (tptp.c2_1 X23))))) tptp.hskp8) (or (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X24) (tptp.c2_1 X24) (tptp.c3_1 X24)))) tptp.hskp5 tptp.hskp9) (or (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (tptp.c2_1 X25) (not (tptp.c1_1 X25))))) (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X26) (tptp.c3_1 X26) (not (tptp.c1_1 X26))))) tptp.hskp5) (or (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (tptp.c2_1 X27) (not (tptp.c1_1 X27))))) (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X28) (not (tptp.c2_1 X28)) (not (tptp.c3_1 X28))))) tptp.hskp10) (or (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X29) (tptp.c2_1 X29) (not (tptp.c1_1 X29))))) (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X30) (not (tptp.c1_1 X30)) (not (tptp.c3_1 X30))))) tptp.hskp11) (or (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X31) (tptp.c2_1 X31) (not (tptp.c1_1 X31))))) (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X32)) (not (tptp.c1_1 X32)) (not (tptp.c2_1 X32))))) tptp.hskp27) (or (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X33) (tptp.c2_1 X33) (not (tptp.c3_1 X33))))) (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X34) (not (tptp.c1_1 X34)) (not (tptp.c3_1 X34))))) (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X35) (not (tptp.c1_1 X35)) (not (tptp.c3_1 X35)))))) (or (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X36) (tptp.c2_1 X36) (not (tptp.c3_1 X36))))) (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X37) (not (tptp.c2_1 X37)) (not (tptp.c3_1 X37))))) (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X38)) (not (tptp.c2_1 X38)) (not (tptp.c3_1 X38)))))) (or (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X39) (tptp.c2_1 X39) (not (tptp.c3_1 X39))))) (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X40) (tptp.c3_1 X40) (not (tptp.c2_1 X40))))) (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X41) (not (tptp.c0_1 X41)) (not (tptp.c1_1 X41)))))) (or (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X42) (tptp.c2_1 X42) (not (tptp.c3_1 X42))))) tptp.hskp27 tptp.hskp11) (or (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X43) (tptp.c2_1 X43) (not (tptp.c3_1 X43))))) tptp.hskp25 tptp.hskp6) (or (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X44) (tptp.c2_1 X44) (not (tptp.c3_1 X44))))) tptp.hskp12 tptp.hskp7) (or (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X45) (tptp.c2_1 X45) (not (tptp.c3_1 X45))))) tptp.hskp6 tptp.hskp4) (or (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X46) (tptp.c3_1 X46) (not (tptp.c1_1 X46))))) (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X47) (not (tptp.c0_1 X47)) (not (tptp.c1_1 X47))))) tptp.hskp13) (or (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X48) (tptp.c3_1 X48) (not (tptp.c1_1 X48))))) tptp.hskp0 tptp.hskp9) (or (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X49) (tptp.c3_1 X49) (not (tptp.c2_1 X49))))) (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X50) (tptp.c3_1 X50) (not (tptp.c1_1 X50))))) tptp.hskp14) (or (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X51) (tptp.c3_1 X51) (not (tptp.c2_1 X51))))) (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X52)) (not (tptp.c1_1 X52)) (not (tptp.c3_1 X52))))) tptp.hskp15) (or (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X53) (not (tptp.c1_1 X53)) (not (tptp.c2_1 X53))))) (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X54)) (not (tptp.c2_1 X54)) (not (tptp.c3_1 X54))))) tptp.hskp16) (or (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X55) (not (tptp.c1_1 X55)) (not (tptp.c2_1 X55))))) tptp.hskp27 tptp.hskp17) (or (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X56) (not (tptp.c1_1 X56)) (not (tptp.c3_1 X56))))) (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X57) (tptp.c2_1 X57) (not (tptp.c0_1 X57))))) tptp.hskp2) (or (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X58) (not (tptp.c2_1 X58)) (not (tptp.c3_1 X58))))) (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X59) (not (tptp.c2_1 X59)) (not (tptp.c3_1 X59))))) (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X60) (not (tptp.c0_1 X60)) (not (tptp.c3_1 X60)))))) (or (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X61) (tptp.c2_1 X61) (tptp.c3_1 X61)))) tptp.hskp27 tptp.hskp0) (or (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X62) (tptp.c2_1 X62) (not (tptp.c0_1 X62))))) (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X63)) (not (tptp.c2_1 X63)) (not (tptp.c3_1 X63))))) tptp.hskp26) (or (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X64) (tptp.c2_1 X64) (not (tptp.c3_1 X64))))) (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X65) (not (tptp.c1_1 X65)) (not (tptp.c3_1 X65))))) tptp.hskp11) (or (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X66) (tptp.c3_1 X66) (not (tptp.c0_1 X66))))) tptp.hskp27 tptp.hskp5) (or (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X67) (tptp.c3_1 X67) (not (tptp.c2_1 X67))))) (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X68) (not (tptp.c0_1 X68)) (not (tptp.c3_1 X68))))) tptp.hskp5) (or (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X69) (tptp.c3_1 X69) (not (tptp.c2_1 X69))))) (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X70) (tptp.c3_1 X70) (not (tptp.c0_1 X70))))) (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X71)) (not (tptp.c1_1 X71)) (not (tptp.c2_1 X71)))))) (or (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X72) (tptp.c3_1 X72) (not (tptp.c2_1 X72))))) (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X73) (not (tptp.c1_1 X73)) (not (tptp.c3_1 X73))))) tptp.hskp18) (or (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X74) (not (tptp.c0_1 X74)) (not (tptp.c3_1 X74))))) tptp.hskp27 tptp.hskp19) (or (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X75) (not (tptp.c2_1 X75)) (not (tptp.c3_1 X75))))) tptp.hskp5 tptp.hskp20) (or (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X76) (tptp.c3_1 X76) (not (tptp.c0_1 X76))))) tptp.hskp25 tptp.hskp9) (or (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X77) (tptp.c3_1 X77) (not (tptp.c0_1 X77))))) tptp.hskp16 tptp.hskp3) (or (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X78) (tptp.c3_1 X78) (not (tptp.c1_1 X78))))) tptp.hskp28 tptp.hskp16) (or (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X79) (not (tptp.c0_1 X79)) (not (tptp.c1_1 X79))))) (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X80)) (not (tptp.c2_1 X80)) (not (tptp.c3_1 X80))))) tptp.hskp1) (or (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X81) (not (tptp.c0_1 X81)) (not (tptp.c1_1 X81))))) tptp.hskp18 tptp.hskp11) (or (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X82) (not (tptp.c1_1 X82)) (not (tptp.c2_1 X82))))) tptp.hskp27 tptp.hskp11) (or (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X83)) (not (tptp.c2_1 X83)) (not (tptp.c3_1 X83))))) tptp.hskp28 tptp.hskp11) (or (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X84)) (not (tptp.c2_1 X84)) (not (tptp.c3_1 X84))))) tptp.hskp21) (or (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X85)) (not (tptp.c2_1 X85)) (not (tptp.c3_1 X85))))) tptp.hskp21 tptp.hskp2) (or (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X86)) (not (tptp.c2_1 X86)) (not (tptp.c3_1 X86))))) tptp.hskp16 tptp.hskp22) (or tptp.hskp23 tptp.hskp21 tptp.hskp17) (or tptp.hskp23 tptp.hskp24 tptp.hskp13) (or tptp.hskp16 tptp.hskp18 tptp.hskp19) (or tptp.hskp0 tptp.hskp5 tptp.hskp19) (or tptp.hskp0 tptp.hskp8) (or tptp.hskp7 tptp.hskp1 tptp.hskp4)))))) (let ((_let_137 (not _let_134))) (let ((_let_138 (not _let_87))) (let ((_let_139 (or _let_85 _let_83 _let_138))) (let ((_let_140 (forall ((X13 $$unsorted)) (or (tptp.c0_1 X13) (tptp.c1_1 X13) (not (tptp.c3_1 X13)))))) (let ((_let_141 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_142 (not _let_141))) (let ((_let_143 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_144 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_145 (or _let_144 _let_143 _let_142))) (let ((_let_146 (forall ((X34 $$unsorted)) (or (tptp.c0_1 X34) (not (tptp.c1_1 X34)) (not (tptp.c3_1 X34)))))) (let ((_let_147 (forall ((Y $$unsorted)) (or (tptp.c1_1 Y) (not (tptp.c0_1 Y)) (not (tptp.c3_1 Y)))))) (let ((_let_148 (forall ((Z $$unsorted)) (or (tptp.c0_1 Z) (tptp.c1_1 Z) (tptp.c2_1 Z))))) (let ((_let_149 (not _let_28))) (let ((_let_150 (tptp.c0_1 tptp.a797))) (let ((_let_151 (not _let_150))) (let ((_let_152 (or _let_26 _let_151 _let_149))) (let ((_let_153 (forall ((U $$unsorted)) (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_154 (or _let_150 _let_26 _let_24))) (let ((_let_155 (not tptp.ndr1_0))) (let ((_let_156 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_157 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_158 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_159 (or _let_158 _let_157 _let_156))) (let ((_let_160 (tptp.c1_1 tptp.a732))) (let ((_let_161 (or _let_122 _let_160 _let_120))) (let ((_let_162 (or _let_74 _let_72 _let_70))) (let ((_let_163 (forall ((X2 $$unsorted)) (or (tptp.c0_1 X2) (tptp.c2_1 X2) (not (tptp.c3_1 X2)))))) (let ((_let_164 (not _let_92))) (let ((_let_165 (tptp.c2_1 tptp.a741))) (let ((_let_166 (or _let_90 _let_165 _let_164))) (let ((_let_167 (forall ((X26 $$unsorted)) (or (tptp.c0_1 X26) (tptp.c3_1 X26) (not (tptp.c1_1 X26)))))) (let ((_let_168 (not _let_110))) (let ((_let_169 (or _let_108 _let_106 _let_168))) (let ((_let_170 (not _let_93))) (let ((_let_171 (or _let_90 _let_170 _let_164))) (let ((_let_172 (not _let_165))) (let ((_let_173 (or _let_90 _let_172 _let_164))) (let ((_let_174 (forall ((X28 $$unsorted)) (or (tptp.c0_1 X28) (not (tptp.c2_1 X28)) (not (tptp.c3_1 X28)))))) (let ((_let_175 (forall ((X58 $$unsorted)) (or (tptp.c0_1 X58) (not (tptp.c2_1 X58)) (not (tptp.c3_1 X58)))))) (let ((_let_176 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_177 (not _let_176))) (let ((_let_178 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_179 (not _let_178))) (let ((_let_180 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_181 (or _let_180 _let_179 _let_177))) (let ((_let_182 (not _let_132))) (let ((_let_183 (not _let_133))) (let ((_let_184 (or _let_130 _let_183 _let_182))) (let ((_let_185 (forall ((X60 $$unsorted)) (or (tptp.c2_1 X60) (not (tptp.c0_1 X60)) (not (tptp.c3_1 X60)))))) (let ((_let_186 (forall ((X57 $$unsorted)) (or (tptp.c1_1 X57) (tptp.c2_1 X57) (not (tptp.c0_1 X57)))))) (let ((_let_187 (forall ((X59 $$unsorted)) (or (tptp.c1_1 X59) (not (tptp.c2_1 X59)) (not (tptp.c3_1 X59)))))) (let ((_let_188 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_189 (not _let_188))) (let ((_let_190 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_191 (not _let_190))) (let ((_let_192 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_193 (or _let_192 _let_191 _let_189))) (let ((_let_194 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_195 (or _let_192 _let_194 _let_191))) (let ((_let_196 (not _let_194))) (let ((_let_197 (or _let_192 _let_196 _let_189))) (let ((_let_198 (not _let_103))) (let ((_let_199 (not _let_104))) (let ((_let_200 (or _let_101 _let_199 _let_198))) (let ((_let_201 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_202 (not _let_201))) (let ((_let_203 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_204 (not _let_203))) (let ((_let_205 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_206 (or _let_205 _let_204 _let_202))) (let ((_let_207 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_208 (not _let_207))) (let ((_let_209 (or _let_144 _let_208 _let_142))) (let ((_let_210 (not _let_81))) (let ((_let_211 (or _let_79 _let_77 _let_210))) (let ((_let_212 (not _let_127))) (let ((_let_213 (tptp.c0_1 tptp.a731))) (let ((_let_214 (or _let_213 _let_125 _let_212))) (let ((_let_215 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_216 (not _let_215))) (let ((_let_217 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_218 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_219 (or _let_218 _let_217 _let_216))) (let ((_let_220 (not _let_218))) (let ((_let_221 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_222 (or _let_221 _let_217 _let_220))) (let ((_let_223 (or _let_221 _let_217 _let_216))) (let ((_let_224 (forall ((X64 $$unsorted)) (or (tptp.c1_1 X64) (tptp.c2_1 X64) (not (tptp.c3_1 X64)))))) (let ((_let_225 (forall ((X48 $$unsorted)) (or (tptp.c0_1 X48) (tptp.c3_1 X48) (not (tptp.c1_1 X48)))))) (let ((_let_226 (tptp.c2_1 tptp.a730))) (let ((_let_227 (or _let_130 _let_226 _let_182))) (let ((_let_228 (or _let_213 _let_128 _let_125))) (let ((_let_229 (not _let_213))) (let ((_let_230 (or _let_128 _let_125 _let_229))) (let ((_let_231 (or _let_125 _let_229 _let_212))) (let ((_let_232 (not _let_32))) (let ((_let_233 (not _let_33))) (let ((_let_234 (or _let_30 _let_233 _let_232))) (let ((_let_235 (or _let_125 _let_127 _let_229))) (let ((_let_236 (forall ((X70 $$unsorted)) (or (tptp.c2_1 X70) (tptp.c3_1 X70) (not (tptp.c0_1 X70)))))) (let ((_let_237 (forall ((X84 $$unsorted)) (or (not (tptp.c0_1 X84)) (not (tptp.c2_1 X84)) (not (tptp.c3_1 X84)))))) (let ((_let_238 (forall ((X76 $$unsorted)) (or (tptp.c2_1 X76) (tptp.c3_1 X76) (not (tptp.c0_1 X76)))))) (let ((_let_239 (forall ((X54 $$unsorted)) (or (not (tptp.c0_1 X54)) (not (tptp.c2_1 X54)) (not (tptp.c3_1 X54)))))) (let ((_let_240 (not _let_9))) (let ((_let_241 (not _let_10))) (let ((_let_242 (not _let_11))) (let ((_let_243 (or _let_242 _let_241 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_let_603 _let_179 _let_177))) (let ((_let_605 (not _let_160))) (let ((_let_606 (or _let_122 _let_120 _let_605))) (let ((_let_607 (not _let_603))) (let ((_let_608 (or _let_180 _let_607 _let_177))) (let ((_let_609 (not _let_161))) (let ((_let_610 (not _let_174))) (let ((_let_611 (_let_610))) (let ((_let_612 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_611)) :args _let_611)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_610) _let_174))) (REFL :args ((not _let_181))) :args _let_411)))) (let ((_let_613 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_346 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_345)) :args _let_344)))) (let ((_let_614 (CNF_OR_NEG :args (_let_181 0)))) (let ((_let_615 (REFL :args (_let_181)))) (let ((_let_616 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_181 1)) (CONG _let_615 (MACRO_SR_PRED_INTRO :args ((= (not _let_179) _let_178))) :args _let_411)) :args ((or _let_178 _let_181))))) (let ((_let_617 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_181 2)) (CONG _let_615 (MACRO_SR_PRED_INTRO :args ((= (not _let_177) _let_176))) :args _let_411)) :args ((or _let_176 _let_181))))) (let ((_let_618 (REORDERING (CNF_OR_POS :args (_let_604)) :args ((or _let_179 _let_177 _let_603 (not _let_604)))))) (let ((_let_619 ((not (= (tptp.c0_1 X10) true))))) (let ((_let_620 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_543 :args (tptp.a732 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_619)) :args _let_541)))) (let ((_let_621 (not _let_608))) (let ((_let_622 (REORDERING (CNF_OR_POS :args (_let_608)) :args ((or _let_180 _let_177 _let_607 _let_621))))) (let ((_let_623 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_419 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_418)) :args _let_417)))) (let ((_let_624 (REORDERING (CNF_OR_POS :args (_let_161)) :args ((or _let_122 _let_120 _let_160 _let_609))))) (let ((_let_625 (not _let_606))) (let ((_let_626 (REORDERING (CNF_OR_POS :args (_let_606)) :args ((or _let_122 _let_120 _let_605 _let_625))))) (let ((_let_627 (MACRO_RESOLUTION_TRUST _let_626 _let_624 _let_499 _let_498 _let_501 _let_502 _let_504 _let_623 _let_622 _let_620 _let_618 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_462 (= X10 X27)))) _let_617 _let_616 _let_614 _let_613 (AND_ELIM _let_246 :args (46)) _let_612 _let_349 (REORDERING (EQUIV_ELIM1 _let_351) :args ((or _let_175 _let_610))) :args ((or tptp.hskp10 _let_155 _let_186 _let_175 _let_185 _let_609) false _let_160 true _let_120 true _let_122 false _let_124 false tptp.hskp2 true _let_447 true _let_146 true _let_608 false _let_606 false _let_603 false _let_462 false _let_176 false _let_178 true _let_180 false _let_604 false (forall ((X27 $$unsorted)) (or (tptp.c0_1 X27) (tptp.c2_1 X27) (not (tptp.c1_1 X27)))) true _let_181 false _let_187 true _let_174)))) (let ((_let_628 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_308 :args (tptp.a731 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_307)) :args _let_306)))) (let ((_let_629 (REORDERING (CNF_OR_POS :args (_let_231)) :args ((or _let_125 _let_212 _let_229 (not _let_231)))))) (let ((_let_630 (MACRO_RESOLUTION_TRUST _let_293 _let_287 _let_297 (REORDERING (AND_ELIM _let_246 :args (73)) :args ((or tptp.hskp9 tptp.hskp25 _let_155 _let_238))) _let_299 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_236 (= X70 X76)))) _let_301 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_384 :args (tptp.a731 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_383)) :args _let_382)) _let_302 (REORDERING (CNF_OR_POS :args (_let_235)) :args ((or _let_127 _let_125 _let_229 (not _let_235)))) _let_305 _let_629 _let_309 _let_628 _let_627 _let_352 _let_357 _let_360 _let_353 _let_602 _let_436 _let_435 _let_429 _let_425 _let_399 _let_398 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_395 :args (tptp.a731 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_394)) :args _let_393)) (REORDERING (CNF_OR_POS :args (_let_230)) :args ((or _let_128 _let_125 _let_229 (not _let_230)))) (REORDERING (CNF_OR_POS :args (_let_228)) :args ((or _let_128 _let_125 _let_213 (not _let_228)))) _let_392 _let_391 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_389 :args (tptp.a731 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_388)) :args _let_387)) _let_390 _let_386 _let_247 _let_245 :args ((or tptp.hskp22 _let_128 _let_125 _let_155) false _let_12 false _let_243 false tptp.hskp25 false _let_239 true _let_238 false _let_237 true _let_236 true tptp.hskp21 true _let_235 true _let_34 true _let_127 false _let_234 false _let_231 false _let_185 true _let_175 true _let_174 true _let_200 false _let_105 false tptp.hskp5 true tptp.hskp9 true _let_82 false _let_211 false _let_163 true tptp.hskp10 true _let_76 true _let_186 true _let_230 false _let_213 false _let_162 false _let_161 false _let_228 false _let_159 false _let_153 true tptp.hskp1 true _let_129)))) (let ((_let_631 (not _let_226))) (let ((_let_632 (or _let_130 _let_631 _let_182))) (let ((_let_633 (or _let_130 _let_226 _let_183))) (let ((_let_634 (or _let_122 _let_160 _let_118))) (let ((_let_635 (forall ((X5 $$unsorted)) (or (tptp.c0_1 X5) (tptp.c1_1 X5) (tptp.c3_1 X5))))) (let ((_let_636 (not _let_128))) (let ((_let_637 (or _let_125 _let_636 _let_212))) (let ((_let_638 (or _let_226 _let_183 _let_182))) (let ((_let_639 (or _let_183 _let_631 _let_182))) (let ((_let_640 (not _let_5))) (let ((_let_641 (not _let_6))) (let ((_let_642 (tptp.c0_1 tptp.a737))) (let ((_let_643 (not _let_642))) (let ((_let_644 (or _let_643 _let_641 _let_640))) (let ((_let_645 (or _let_180 _let_603 _let_179))) (let ((_let_646 (not _let_99))) (let ((_let_647 (or _let_97 _let_95 _let_646))) (let ((_let_648 (not _let_185))) (let ((_let_649 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_308 :args (tptp.a730 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_307)) :args _let_306)))) (let ((_let_650 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_296 :args (tptp.a730 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_295)) :args _let_294)))) (let ((_let_651 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_296 :args (tptp.a737 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_295)) :args _let_294)))) (let ((_let_652 (not _let_638))) (let ((_let_653 (not _let_639))) (let ((_let_654 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_639)) :args ((or _let_183 _let_182 _let_631 _let_653))) (REORDERING (CNF_OR_POS :args (_let_638)) :args ((or _let_183 _let_182 _let_226 _let_652))) _let_278 _let_277 :args ((or _let_137 _let_653 _let_652) false _let_226 false _let_132 false _let_133)))) (let ((_let_655 (tptp.c2_1 tptp.a744))) (let ((_let_656 (or _let_85 _let_83 _let_655))) (let ((_let_657 (not _let_655))) (let ((_let_658 (or _let_85 _let_83 _let_657))) (let ((_let_659 (AND_ELIM _let_246 :args (87)))) (let ((_let_660 (AND_ELIM _let_246 :args (8)))) (let ((_let_661 (not _let_88))) (let ((_let_662 (REORDERING (CNF_AND_POS :args (_let_88 3)) :args ((or _let_84 _let_661))))) (let ((_let_663 (REORDERING (CNF_AND_POS :args (_let_88 2)) :args ((or _let_86 _let_661))))) (let ((_let_664 (REORDERING (CNF_AND_POS :args (_let_88 1)) :args ((or _let_87 _let_661))))) (let ((_let_665 (not _let_139))) (let ((_let_666 (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_85 _let_83 _let_138 _let_665))))) (let ((_let_667 (MACRO_RESOLUTION_TRUST _let_666 _let_662 _let_664 :args ((or _let_85 _let_661 _let_665) true _let_83 false _let_87)))) (let ((_let_668 (_let_140))) (let ((_let_669 ((not (= (tptp.c0_1 X13) true))))) (let ((_let_670 (ASSUME :args _let_668))) (let ((_let_671 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_670 :args (tptp.a744 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_669)) :args _let_668)))) (let ((_let_672 (not _let_140))) (let ((_let_673 (_let_672))) (let ((_let_674 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_673)) :args _let_673)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_672) _let_140))) (REFL :args ((not _let_145))) :args _let_411)))) (let ((_let_675 (CNF_OR_NEG :args (_let_145 1)))) (let ((_let_676 (CNF_OR_NEG :args (_let_145 0)))) (let ((_let_677 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_145 2)) (CONG (REFL :args (_let_145)) (MACRO_SR_PRED_INTRO :args ((= (not _let_142) _let_141))) :args _let_411)) :args ((or _let_141 _let_145))))) (let ((_let_678 (or _let_85 _let_655 _let_138))) (let ((_let_679 (or _let_144 _let_207 _let_142))) (let ((_let_680 (or _let_85 _let_657 _let_138))) (let ((_let_681 (or _let_143 _let_208 _let_142))) (let ((_let_682 (REORDERING (CNF_AND_POS :args (_let_129 2)) :args ((or _let_127 _let_244))))) (let ((_let_683 (REORDERING (CNF_AND_POS :args (_let_129 3)) :args ((or _let_126 _let_244))))) (let ((_let_684 (REORDERING (CNF_OR_POS :args (_let_637)) :args ((or _let_125 _let_636 _let_212 (not _let_637)))))) (let ((_let_685 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_422 :args (tptp.a731 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_421)) :args _let_420)))) (let ((_let_686 ((not (= (tptp.c2_1 X2) true))))) (let ((_let_687 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (tptp.a731 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_686)) :args _let_426)))) (let ((_let_688 (not _let_214))) (let ((_let_689 (REORDERING (CNF_OR_POS :args (_let_214)) :args ((or _let_125 _let_212 _let_213 _let_688))))) (let ((_let_690 (MACRO_RESOLUTION_TRUST _let_349 _let_352 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_346 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_345)) :args _let_344)) _let_628 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_356 :args (tptp.a744 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_355)) :args _let_354)) (REORDERING (CNF_OR_POS :args (_let_681)) :args ((or _let_143 _let_142 _let_208 (not _let_681)))) _let_629 (REORDERING (CNF_OR_POS :args (_let_680)) :args ((or _let_85 _let_138 _let_657 (not _let_680)))) (REORDERING (CNF_OR_POS :args (_let_679)) :args ((or _let_144 _let_142 _let_207 (not _let_679)))) _let_689 (REORDERING (CNF_OR_POS :args (_let_678)) :args ((or _let_85 _let_138 _let_655 (not _let_678)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_427)) :args _let_426)) _let_687 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (tptp.a744 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_427)) :args _let_426)) _let_410 _let_423 _let_424 _let_685 _let_684 _let_683 _let_682 _let_245 :args ((or _let_85 _let_155 _let_146 _let_244 _let_138 _let_144 _let_143 _let_142) true _let_175 true _let_187 true _let_185 true _let_174 true _let_681 true _let_231 true _let_680 false _let_207 false _let_213 false _let_655 false _let_679 false _let_214 false _let_678 false _let_163 false _let_400 true _let_408 true _let_407 true _let_637 true _let_125 false _let_127 false _let_128)))) (let ((_let_691 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_389 :args (tptp.a744 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_388)) :args _let_387)))) (let ((_let_692 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_509 :args (tptp.a744 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_508)) :args _let_507)))) (let ((_let_693 (REORDERING (CNF_OR_POS :args (_let_656)) :args ((or _let_85 _let_83 _let_655 (not _let_656)))))) (let ((_let_694 (REORDERING (CNF_OR_POS :args (_let_658)) :args ((or _let_85 _let_83 _let_657 (not _let_658)))))) (let ((_let_695 (MACRO_RESOLUTION_TRUST _let_626 _let_624 _let_499 _let_498 :args ((or _let_497 _let_625 _let_609) false _let_160 true _let_120 true _let_122)))) (let ((_let_696 (AND_ELIM _let_246 :args (36)))) (let ((_let_697 (MACRO_RESOLUTION_TRUST _let_696 _let_692 _let_620 _let_694 _let_695 _let_693 _let_391 _let_691 _let_386 _let_247 _let_501 _let_690 (MACRO_RESOLUTION_TRUST _let_694 _let_693 _let_692 _let_691 _let_505 _let_274 _let_503 _let_275 _let_247 _let_690 _let_677 _let_675 _let_676 _let_674 _let_671 _let_666 _let_662 _let_663 _let_664 _let_660 _let_659 :args ((or tptp.hskp0 tptp.hskp2 _let_155 _let_146) false _let_655 false _let_658 false _let_656 false _let_449 false _let_153 false _let_448 false _let_148 true tptp.hskp1 true _let_129 false _let_141 true _let_143 true _let_144 true _let_145 true _let_140 true _let_139 true _let_83 true _let_85 false _let_87 false _let_88 false tptp.hskp8)) _let_677 _let_676 _let_675 _let_674 _let_671 _let_667 _let_664 _let_663 _let_662 _let_660 _let_659 :args ((or tptp.hskp0 tptp.hskp22 _let_155 _let_146) true _let_449 true _let_462 true _let_658 true _let_606 false _let_655 false _let_161 false _let_656 false _let_153 true tptp.hskp1 false _let_124 true _let_129 false tptp.hskp2 false _let_141 true _let_144 true _let_143 true _let_145 true _let_140 true _let_139 false _let_87 true _let_85 true _let_83 false _let_88 false tptp.hskp8)))) (let ((_let_698 (not _let_7))) (let ((_let_699 (or _let_642 _let_698 _let_640))) (let ((_let_700 (forall ((X11 $$unsorted)) (or (tptp.c0_1 X11) (tptp.c1_1 X11) (not (tptp.c2_1 X11)))))) (let ((_let_701 (not _let_644))) (let ((_let_702 (not _let_146))) (let ((_let_703 (REORDERING (CNF_OR_POS :args (_let_645)) :args ((or _let_180 _let_179 _let_603 (not _let_645)))))) (let ((_let_704 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_509 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_508)) :args _let_507)))) (let ((_let_705 (not _let_8))) (let ((_let_706 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_644)) :args ((or _let_641 _let_640 _let_643 _let_701))) (REORDERING (CNF_OR_POS :args (_let_699)) :args ((or _let_698 _let_640 _let_642 (not _let_699)))) (REORDERING (CNF_AND_POS :args (_let_8 3)) :args ((or _let_5 _let_705))) (REORDERING (CNF_AND_POS :args (_let_8 2)) :args ((or _let_6 _let_705))) (REORDERING (CNF_AND_POS :args (_let_8 1)) :args ((or _let_7 _let_705))) (AND_ELIM _let_246 :args (26)) (REORDERING (AND_ELIM _let_246 :args (37)) :args ((or tptp.hskp6 tptp.hskp26 _let_155 _let_700))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_449 (= X9 X11)))) _let_704 _let_703 _let_622 _let_623 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_419 :args (tptp.a737 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_418)) :args _let_417)) :args ((or tptp.hskp6 _let_155 _let_702 _let_180 _let_179 _let_177 _let_701) false _let_642 false _let_5 false _let_6 false _let_7 false _let_8 false tptp.hskp26 true _let_700 true _let_449 true _let_645 true _let_603 false _let_608 false _let_699)))) (let ((_let_707 (AND_ELIM _let_246 :args (6)))) (let ((_let_708 (not _let_647))) (let ((_let_709 (not _let_100))) (let ((_let_710 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_647)) :args ((or _let_97 _let_95 _let_646 _let_708))) (REORDERING (CNF_AND_POS :args (_let_100 3)) :args ((or _let_96 _let_709))) (REORDERING (CNF_AND_POS :args (_let_100 2)) :args ((or _let_98 _let_709))) (REORDERING (CNF_AND_POS :args (_let_100 1)) :args ((or _let_99 _let_709))) :args ((or _let_709 _let_708) true _let_95 true _let_97 false _let_99)))) (let ((_let_711 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_543 :args (tptp.a738 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_619)) :args _let_541)))) (let ((_let_712 (MACRO_RESOLUTION_TRUST _let_696 _let_711 _let_704 _let_710 _let_703 _let_707 _let_622 _let_706 _let_623 _let_697 _let_276 _let_654 _let_651 _let_650 _let_299 _let_301 _let_302 _let_305 _let_649 _let_309 :args ((or tptp.hskp22 _let_155 _let_648 _let_180 _let_179 _let_177) true _let_462 true _let_449 true _let_647 true _let_645 false _let_100 true _let_603 false tptp.hskp6 false _let_608 false _let_146 true tptp.hskp0 true _let_134 false _let_644 false _let_639 false _let_239 false _let_237 true tptp.hskp21 true _let_34 false _let_638 false _let_234)))) (let ((_let_713 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_346 :args (tptp.a730 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_345)) :args _let_344)))) (let ((_let_714 (REORDERING (CNF_OR_POS :args (_let_632)) :args ((or _let_130 _let_182 _let_631 (not _let_632)))))) (let ((_let_715 (REORDERING (CNF_OR_POS :args (_let_633)) :args ((or _let_130 _let_183 _let_226 (not _let_633)))))) (let ((_let_716 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_395 :args (tptp.a730 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_394)) :args _let_393)))) (let ((_let_717 (or _let_122 _let_118 _let_605))) (let ((_let_718 (or _let_125 _let_229 _let_636))) (let ((_let_719 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_560 :args (tptp.a731 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_559)) :args _let_558)))) (let ((_let_720 (REORDERING (CNF_OR_POS :args (_let_718)) :args ((or _let_125 _let_636 _let_229 (not _let_718)))))) (let ((_let_721 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_490 (= X1 X5)))))) (let ((_let_722 (or _let_229 _let_636 _let_212))) (let ((_let_723 (forall ((X7 $$unsorted)) (or (not (tptp.c0_1 X7)) (not (tptp.c1_1 X7)) (not (tptp.c3_1 X7)))))) (let ((_let_724 (_let_723))) (let ((_let_725 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_246 :args (34)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_724) :args (tptp.a731 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X7) false))))) :args _let_724)) _let_719 (REORDERING (CNF_OR_POS :args (_let_722)) :args ((or _let_636 _let_212 _let_229 (not _let_722)))) _let_720 _let_689 _let_683 _let_682 _let_245 :args ((or _let_155 _let_635 _let_244 _let_688) true _let_723 true _let_486 true _let_722 true _let_718 false _let_213 true _let_125 false _let_127 false _let_128)))) (let ((_let_726 (MACRO_RESOLUTION_TRUST _let_423 _let_424 _let_410 _let_685 _let_687 _let_684 _let_725 _let_682 _let_721 _let_247 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_567 :args (tptp.a732 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_566)) :args _let_565)) _let_386 (REORDERING (CNF_OR_POS :args (_let_634)) :args ((or _let_122 _let_118 _let_160 (not _let_634)))) _let_391 (REORDERING (CNF_OR_NEG :args (_let_161 1)) :args ((or _let_605 _let_161))) (MACRO_RESOLUTION_TRUST _let_423 _let_410 _let_424 _let_687 _let_685 _let_689 _let_684 _let_720 _let_682 _let_719 _let_247 _let_557 _let_386 _let_556 _let_392 _let_531 _let_398 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_529 :args (tptp.a732 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_528)) :args _let_527)) _let_399 (REORDERING (CNF_OR_POS :args (_let_717)) :args ((or _let_122 _let_118 _let_605 (not _let_717)))) _let_627 _let_624 _let_499 _let_498 _let_500 _let_501 _let_502 _let_504 _let_716 _let_715 _let_277 _let_714 _let_278 _let_713 _let_279 _let_276 _let_697 _let_368 _let_367 _let_364 _let_349 _let_630 :args ((or tptp.hskp22 _let_125 _let_155 _let_146 _let_175 _let_185 _let_609) true _let_400 true _let_408 true _let_163 true _let_407 true _let_214 true _let_637 true _let_213 false _let_127 false _let_718 false _let_129 false _let_486 false tptp.hskp1 false _let_485 true _let_153 true _let_457 true _let_162 true _let_167 false _let_76 true _let_717 false tptp.hskp10 false _let_160 true _let_120 true _let_122 true _let_118 false _let_124 false tptp.hskp2 true _let_447 true _let_186 true _let_633 false _let_133 true _let_226 false _let_132 false _let_632 true _let_130 false _let_134 false tptp.hskp0 true tptp.hskp13 true _let_62 false _let_264 false _let_187 false _let_128)) _let_500 _let_498 _let_501 _let_502 _let_716 _let_715 _let_714 _let_279 _let_278 _let_277 _let_276 _let_697 _let_504 _let_623 _let_622 _let_618 _let_613 _let_713 _let_349 _let_712 _let_617 _let_616 _let_614 _let_612 _let_352 _let_630 :args ((or tptp.hskp22 _let_125 _let_155 _let_174) true _let_408 true _let_400 true _let_407 true _let_163 true _let_637 true _let_214 false _let_127 true _let_635 false _let_129 true _let_490 false tptp.hskp1 true _let_634 true _let_153 true _let_160 true _let_161 true _let_118 true _let_122 false _let_124 false tptp.hskp2 true _let_186 true _let_633 true _let_226 true _let_130 false _let_132 false _let_133 false _let_134 false tptp.hskp0 true _let_447 true _let_146 true _let_608 false _let_603 false _let_604 false _let_632 false _let_187 true _let_185 false _let_176 false _let_178 true _let_180 true _let_181 true _let_175 false _let_128)))) (let ((_let_727 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_356 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_355)) :args _let_354)))) (let ((_let_728 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_356 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_355)) :args _let_354)))) (let ((_let_729 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_730 (not _let_729))) (let ((_let_731 (or _let_205 _let_730 _let_202))) (let ((_let_732 (or _let_205 _let_203 _let_202))) (let ((_let_733 (or _let_203 _let_730 _let_202))) (let ((_let_734 (not _let_206))) (let ((_let_735 (_let_702))) (let ((_let_736 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_735)) :args _let_735)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_702) _let_146))) (REFL :args ((not _let_731))) :args _let_411)))) (let ((_let_737 (REFL :args (_let_731)))) (let ((_let_738 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_731 1)) (CONG _let_737 (MACRO_SR_PRED_INTRO :args ((= (not _let_730) _let_729))) :args _let_411)) :args ((or _let_729 _let_731))))) (let ((_let_739 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_731 2)) (CONG _let_737 (MACRO_SR_PRED_INTRO :args ((= (not _let_202) _let_201))) :args _let_411)) :args ((or _let_201 _let_731))))) (let ((_let_740 (_let_206))) (let ((_let_741 (MACRO_RESOLUTION_TRUST _let_423 _let_424 _let_410 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_422 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_421)) :args _let_420)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_427)) :args _let_426)) (REORDERING (CNF_OR_POS :args (_let_733)) :args ((or _let_730 _let_202 _let_203 (not _let_733)))) (REORDERING (CNF_OR_POS :args (_let_732)) :args ((or _let_205 _let_202 _let_203 (not _let_732)))) (REORDERING (CNF_OR_POS :args _let_740) :args ((or _let_205 _let_202 _let_204 _let_734))) _let_739 _let_738 (CNF_OR_NEG :args (_let_731 0)) _let_736 :args ((or _let_155 _let_146 _let_734) true _let_408 true _let_400 true _let_407 true _let_163 true _let_733 true _let_732 true _let_203 false _let_201 false _let_729 true _let_205 true _let_731)))) (let ((_let_742 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_743 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_744 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_745 (or _let_744 _let_743 _let_742))) (let ((_let_746 (forall ((X65 $$unsorted)) (or (tptp.c2_1 X65) (not (tptp.c1_1 X65)) (not (tptp.c3_1 X65)))))) (let ((_let_747 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_748 (not _let_747))) (let ((_let_749 (or _let_744 _let_743 _let_748))) (let ((_let_750 (or _let_158 _let_157 _let_402))) (let ((_let_751 (or _let_744 _let_743 _let_747))) (let ((_let_752 (not _let_153))) (let ((_let_753 (_let_752))) (let ((_let_754 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_753)) :args _let_753)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_752) _let_153))) (REFL :args ((not _let_745))) :args _let_411)))) (let ((_let_755 (CNF_OR_NEG :args (_let_745 0)))) (let ((_let_756 (CNF_OR_NEG :args (_let_745 1)))) (let ((_let_757 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_407 (= X30 X65)))))) (let ((_let_758 (forall ((X14 $$unsorted)) (or (tptp.c0_1 X14) (tptp.c3_1 X14) (not (tptp.c2_1 X14)))))) (let ((_let_759 (or _let_143 _let_207 _let_142))) (let ((_let_760 (or _let_441 _let_440 _let_459))) (let ((_let_761 (not _let_209))) (let ((_let_762 (AND_ELIM _let_246 :args (39)))) (let ((_let_763 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_473 (= V X14)))))) (let ((_let_764 (_let_224))) (let ((_let_765 ((not (= (tptp.c1_1 X64) true))))) (let ((_let_766 (ASSUME :args _let_764))) (let ((_let_767 (AND_ELIM _let_246 :args (66)))) (let ((_let_768 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_460 2)) (CONG (REFL :args (_let_460)) (MACRO_SR_PRED_INTRO :args ((= (not _let_459) _let_458))) :args _let_411)) :args ((or _let_458 _let_460))))) (let ((_let_769 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_543 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_619)) :args _let_541)))) (let ((_let_770 (REORDERING (CNF_OR_POS :args (_let_760)) :args ((or _let_441 _let_459 _let_440 (not _let_760)))))) (let ((_let_771 (MACRO_RESOLUTION_TRUST _let_770 _let_769 _let_544 _let_540 _let_768 _let_539 _let_538 _let_536 _let_535 _let_530 _let_526 _let_523 (AND_ELIM _let_246 :args (35)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_490 (= X1 X8)))) _let_568 _let_571 _let_572 _let_767 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_766 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_765)) :args _let_764)) (REORDERING (CNF_OR_POS :args (_let_759)) :args ((or _let_143 _let_142 _let_207 (not _let_759)))) _let_548 (REORDERING (CNF_OR_POS :args (_let_209)) :args ((or _let_144 _let_142 _let_208 _let_761))) _let_763 _let_677 _let_675 _let_676 _let_762 _let_674 :args ((or tptp.hskp5 tptp.hskp7 _let_155 _let_140 _let_746 _let_761) false _let_760 true _let_440 false _let_462 false _let_458 true _let_439 true _let_441 false _let_461 true _let_460 true _let_167 true _let_169 false _let_111 false tptp.hskp4 true (forall ((X8 $$unsorted)) (or (tptp.c0_1 X8) (tptp.c1_1 X8) (tptp.c3_1 X8))) true _let_490 true _let_491 false _let_69 false tptp.hskp11 true _let_224 true _let_759 false _let_472 true _let_207 false _let_473 false _let_141 true _let_143 true _let_144 false _let_758 true _let_145)))) (let ((_let_772 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_670 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_669)) :args _let_668)))) (let ((_let_773 (REORDERING (CNF_OR_POS :args (_let_751)) :args ((or _let_744 _let_743 _let_747 (not _let_751)))))) (let ((_let_774 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_567 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_566)) :args _let_565)))) (let ((_let_775 (REORDERING (CNF_OR_NEG :args (_let_159 1)) :args ((or _let_404 _let_159))))) (let ((_let_776 (REORDERING (CNF_OR_POS :args (_let_750)) :args ((or _let_158 _let_402 _let_157 (not _let_750)))))) (let ((_let_777 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_686)) :args _let_426)))) (let ((_let_778 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_766 :args (tptp.a730 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_765)) :args _let_764)))) (let ((_let_779 (not _let_227))) (let ((_let_780 (MACRO_RESOLUTION_TRUST _let_334 _let_335 _let_331 _let_350 _let_361 _let_348 _let_363 _let_713 _let_285 _let_714 _let_284 (REORDERING (CNF_OR_POS :args (_let_227)) :args ((or _let_130 _let_182 _let_226 _let_779))) _let_280 _let_279 _let_278 _let_277 :args ((or tptp.hskp5 _let_155 _let_137 _let_779) false _let_40 false _let_322 false tptp.hskp20 false _let_259 true _let_325 false _let_260 true _let_187 true _let_249 true _let_632 true _let_147 false _let_226 true _let_184 true _let_130 false _let_132 false _let_133)))) (let ((_let_781 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_395 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_394)) :args _let_393)))) (let ((_let_782 (not _let_222))) (let ((_let_783 (not _let_219))) (let ((_let_784 (CNF_OR_NEG :args (_let_223 1)))) (let ((_let_785 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_223 2)) (CONG (REFL :args (_let_223)) (MACRO_SR_PRED_INTRO :args ((= (not _let_216) _let_215))) :args _let_411)) :args ((or _let_215 _let_223))))) (let ((_let_786 (REORDERING (CNF_OR_POS :args (_let_219)) :args ((or _let_217 _let_216 _let_218 _let_783))))) (let ((_let_787 (MACRO_RESOLUTION_TRUST _let_786 (REORDERING (CNF_OR_POS :args (_let_222)) :args ((or _let_221 _let_217 _let_220 _let_782))) _let_785 _let_784 (CNF_OR_NEG :args (_let_223 0)) :args ((or _let_223 _let_783 _let_782) true _let_218 false _let_215 true _let_217 true _let_221)))) (let ((_let_788 (not _let_224))) (let ((_let_789 (_let_788))) (let ((_let_790 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_789)) :args _let_789)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_788) _let_224))) (REFL :args ((not _let_223))) :args _let_411)))) (let ((_let_791 (MACRO_RESOLUTION_TRUST _let_276 _let_780 _let_537 _let_778 _let_532 _let_790 _let_530 _let_787 _let_526 _let_781 _let_523 _let_602 _let_522 _let_247 (MACRO_RESOLUTION_TRUST _let_667 _let_663 _let_660 _let_659 _let_276 _let_780 _let_778 _let_767 _let_671 _let_572 _let_771 _let_571 _let_757 _let_568 _let_685 _let_721 _let_684 _let_725 _let_682 :args ((or tptp.hskp5 tptp.hskp7 _let_125 _let_155 _let_636 _let_244 _let_688 _let_761) true _let_85 false _let_88 false tptp.hskp8 true tptp.hskp0 true _let_134 false _let_227 false _let_224 false _let_139 true tptp.hskp11 false _let_140 true _let_69 true _let_746 false _let_491 true _let_407 false _let_490 true _let_637 false _let_635 false _let_127)) _let_436 _let_435 _let_777 _let_687 _let_429 _let_425 _let_390 (MACRO_RESOLUTION_TRUST _let_776 _let_775 _let_416 _let_415 _let_425 _let_414 _let_687 _let_725 _let_721 _let_774 _let_773 (REORDERING (CNF_OR_POS :args (_let_749)) :args ((or _let_744 _let_743 _let_748 (not _let_749)))) _let_772 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_670 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_669)) :args _let_668)) _let_771 _let_757 _let_685 _let_684 _let_682 _let_247 _let_756 _let_755 _let_386 _let_754 _let_630 _let_520 _let_514 _let_506 _let_741 _let_727 _let_728 _let_353 _let_360 _let_357 _let_726 :args ((or tptp.hskp22 _let_125 _let_155 _let_153) true _let_157 false _let_401 true _let_158 true _let_159 true _let_403 true _let_163 true _let_214 true _let_635 true _let_490 true _let_751 true _let_747 false _let_750 false _let_749 false _let_140 true _let_746 true _let_407 true _let_637 false _let_127 false _let_129 true _let_743 true _let_744 false tptp.hskp1 true _let_745 false _let_128 true tptp.hskp7 true _let_94 false _let_171 false _let_146 false _let_206 false _let_209 true tptp.hskp5 true _let_105 false _let_200 false _let_174)) _let_520 _let_514 _let_506 _let_741 _let_353 _let_360 _let_728 _let_727 _let_357 _let_726 _let_630 :args ((or tptp.hskp22 _let_125 _let_155) true _let_134 false tptp.hskp0 false _let_227 true _let_225 false _let_224 true _let_167 false _let_223 true _let_169 false _let_222 false _let_111 false _let_186 false tptp.hskp4 true tptp.hskp1 true _let_129 true tptp.hskp9 true _let_82 false _let_219 false _let_214 false _let_211 false _let_163 false _let_159 false _let_153 true tptp.hskp7 true _let_94 false _let_171 false _let_146 true tptp.hskp5 true _let_105 false _let_209 false _let_206 false _let_200 false _let_174 false _let_128)))) (let ((_let_792 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_793 (not _let_792))) (let ((_let_794 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_795 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_796 (or _let_795 _let_794 _let_793))) (let ((_let_797 (REORDERING (CNF_OR_NEG :args (_let_227 1)) :args ((or _let_631 _let_227))))) (let ((_let_798 (or _let_794 _let_793 (not (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))))) (let ((_let_799 (not _let_795))) (let ((_let_800 (or _let_794 _let_793 _let_799))) (let ((_let_801 (not _let_796))) (let ((_let_802 (_let_648))) (let ((_let_803 (not _let_147))) (let ((_let_804 (_let_803))) (let ((_let_805 (REFL :args (_let_193)))) (let ((_let_806 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_197)) :args ((or _let_192 _let_189 _let_196 (not _let_197)))) (REORDERING (CNF_OR_POS :args (_let_195)) :args ((or _let_192 _let_191 _let_194 (not _let_195)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_193 2)) (CONG _let_805 (MACRO_SR_PRED_INTRO :args ((= (not _let_189) _let_188))) :args _let_411)) :args ((or _let_188 _let_193))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_193 1)) (CONG _let_805 (MACRO_SR_PRED_INTRO :args ((= (not _let_191) _let_190))) :args _let_411)) :args ((or _let_190 _let_193))) (CNF_OR_NEG :args (_let_193 0)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_346 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_345)) :args _let_344)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_395 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_394)) :args _let_393)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_804)) :args _let_804)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_803) _let_147))) (REFL :args ((not _let_193))) :args _let_411)) _let_349 _let_627 _let_284 _let_712 _let_280 _let_617 _let_616 _let_614 _let_279 _let_278 _let_277 _let_612 _let_352 _let_276 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_356 :args (tptp.a741 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_355)) :args _let_354)) _let_697 (REORDERING (CNF_OR_POS :args (_let_173)) :args ((or _let_90 _let_164 _let_172 (not _let_173)))) _let_506 (REORDERING (CNF_OR_POS :args (_let_166)) :args ((or _let_90 _let_164 _let_165 (not _let_166)))) _let_514 _let_513 _let_512 _let_520 _let_522 _let_523 _let_526 _let_530 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_395 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_394)) :args _let_393)) (MACRO_RESOLUTION_TRUST _let_557 _let_556 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_560 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_559)) :args _let_558)) _let_368 (REORDERING (CNF_OR_POS :args (_let_800)) :args ((or _let_794 _let_793 _let_799 (not _let_800)))) _let_367 (REORDERING (CNF_OR_POS :args (_let_796)) :args ((or _let_794 _let_793 _let_795 _let_801))) _let_364 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_798 1)) (CONG (REFL :args (_let_798)) (MACRO_SR_PRED_INTRO :args ((= (not _let_793) _let_792))) :args _let_411)) :args ((or _let_792 _let_798))) (CNF_OR_NEG :args (_let_798 0)) _let_349 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_802)) :args _let_802)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_648) _let_185))) (REFL :args ((not _let_798))) :args _let_411)) :args ((or _let_155 _let_457 _let_175 _let_185 _let_801) false _let_485 true _let_486 true tptp.hskp13 true _let_800 true _let_62 false _let_795 false _let_264 false _let_792 true _let_794 false _let_187 true _let_798)) _let_627 _let_712 _let_617 _let_616 _let_614 _let_612 _let_352 _let_357 _let_360 _let_353 (MACRO_RESOLUTION_TRUST _let_715 _let_797 _let_716 _let_780 _let_602 _let_277 _let_279 :args ((or tptp.hskp1 tptp.hskp5 tptp.hskp9 _let_155 _let_137) true _let_226 false _let_633 true _let_227 false _let_186 false _let_133 true _let_130)) _let_276 _let_537 _let_532 _let_531 _let_436 _let_435 _let_429 _let_425 _let_390 _let_399 _let_398 _let_392 _let_391 _let_386 _let_247 _let_683 _let_791 :args ((or tptp.hskp22 _let_155 _let_167) true _let_796 false _let_186 true _let_185 false _let_176 false _let_178 true _let_180 true _let_181 true _let_175 true _let_174 true _let_200 false _let_105 false tptp.hskp5 false _let_134 false tptp.hskp0 true _let_225 true _let_457 true tptp.hskp9 true _let_82 false _let_211 false _let_163 false _let_159 true tptp.hskp10 true _let_76 false _let_162 false _let_161 false _let_153 true tptp.hskp1 true _let_129 false _let_125)) _let_399 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (tptp.a741 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_427)) :args _let_426)) _let_398 _let_425 _let_392 _let_391 _let_390 _let_386 _let_247 _let_683 _let_791 :args ((or tptp.hskp22 _let_155) false _let_194 false _let_188 false _let_190 true _let_192 false _let_197 false _let_195 true _let_193 false _let_187 false _let_186 true _let_147 true _let_185 true _let_184 false _let_176 false _let_178 true _let_180 true _let_130 false _let_132 false _let_133 true _let_181 true _let_175 false _let_134 true _let_174 false tptp.hskp0 true _let_173 true _let_146 false _let_165 true _let_171 true _let_90 false _let_92 false _let_94 false tptp.hskp7 true tptp.hskp4 true _let_111 false _let_169 false _let_167 true tptp.hskp10 false _let_166 true _let_76 false _let_163 false _let_162 false _let_161 false _let_159 false _let_153 true tptp.hskp1 true _let_129 false _let_125)))) (let ((_let_807 (AND_ELIM _let_246 :args (22)))) (let ((_let_808 (not _let_29))) (let ((_let_809 (REORDERING (CNF_AND_POS :args (_let_29 1)) :args ((or _let_28 _let_808))))) (let ((_let_810 (REORDERING (CNF_AND_POS :args (_let_29 2)) :args ((or _let_27 _let_808))))) (let ((_let_811 (REORDERING (CNF_AND_POS :args (_let_29 3)) :args ((or _let_25 _let_808))))) (let ((_let_812 (or _let_26 _let_24 _let_149))) (let ((_let_813 (not _let_812))) (let ((_let_814 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_812)) :args ((or _let_26 _let_24 _let_149 _let_813))) _let_811 _let_810 _let_809 :args ((or _let_808 _let_813) true _let_24 true _let_26 false _let_28)))) (let ((_let_815 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_766 :args (tptp.a797 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_765)) :args _let_764)))) (let ((_let_816 (MACRO_RESOLUTION_TRUST _let_299 _let_301 _let_650 _let_302 _let_654 _let_305 _let_649 _let_309 :args ((or _let_155 _let_137 _let_648) false _let_237 true _let_239 true tptp.hskp21 true _let_639 true _let_34 false _let_638 false _let_234)))) (let ((_let_817 (forall ((X37 $$unsorted)) (or (tptp.c0_1 X37) (not (tptp.c2_1 X37)) (not (tptp.c3_1 X37)))))) (let ((_let_818 (or _let_730 _let_204 _let_202))) (let ((_let_819 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_820 (not _let_819))) (let ((_let_821 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_822 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_823 (or _let_822 _let_821 _let_820))) (let ((_let_824 (or _let_744 _let_742 _let_748))) (let ((_let_825 (or _let_217 _let_220 _let_216))) (let ((_let_826 (or _let_180 _let_607 _let_179))) (let ((_let_827 (tptp.c3_1 tptp.a733))) (let ((_let_828 (not _let_827))) (let ((_let_829 (or _let_112 _let_455 _let_828))) (let ((_let_830 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_831 (not _let_830))) (let ((_let_832 (or _let_822 _let_821 _let_831))) (let ((_let_833 (or _let_821 _let_819 _let_831))) (let ((_let_834 (or _let_114 _let_827 _let_455))) (let ((_let_835 (not _let_824))) (let ((_let_836 (not _let_823))) (let ((_let_837 (not _let_462))) (let ((_let_838 (_let_837))) (let ((_let_839 (not _let_833))) (let ((_let_840 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_385 (MACRO_RESOLUTION_TRUST _let_381 _let_378 _let_377 _let_376 :args ((or _let_375 _let_380) true _let_13 true _let_15 false _let_17)) _let_379 _let_373 _let_362 _let_370 _let_330 _let_317 _let_338 _let_316 _let_318 _let_313 _let_374 _let_339 _let_300 _let_372 _let_589 _let_298 _let_369 _let_297 _let_343 _let_293 _let_291 _let_290 _let_289 _let_287 _let_286 _let_273 _let_391 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_834)) :args ((or _let_114 _let_455 _let_827 (not _let_834)))) (REORDERING (CNF_OR_POS :args (_let_829)) :args ((or _let_112 _let_455 _let_828 (not _let_829)))) _let_519 _let_518 _let_517 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_547 :args (tptp.a733 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_546)) :args _let_545)) _let_521 (AND_ELIM _let_246 :args (29)) (AND_ELIM _let_246 :args (33)) _let_372 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_490 (= X1 X3)))) _let_369 _let_774 _let_343 _let_773 _let_291 _let_290 _let_289 (REORDERING (CNF_OR_POS :args (_let_824)) :args ((or _let_744 _let_742 _let_748 _let_835))) _let_287 (CNF_OR_NEG :args (_let_745 2)) _let_756 _let_755 _let_286 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_596 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_595)) :args _let_594)) _let_754 _let_273 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_833)) :args ((or _let_821 _let_831 _let_819 _let_839))) (REORDERING (CNF_OR_POS :args (_let_823)) :args ((or _let_822 _let_821 _let_820 _let_836))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_832 2)) (CONG (REFL :args (_let_832)) (MACRO_SR_PRED_INTRO :args ((= (not _let_831) _let_830))) :args _let_411)) :args ((or _let_830 _let_832))) (CNF_OR_NEG :args (_let_832 1)) (CNF_OR_NEG :args (_let_832 0)) :args ((or _let_832 _let_836 _let_839) true _let_819 false _let_830 true _let_821 true _let_822)) _let_392 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_838)) :args _let_838)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_837) _let_462))) (REFL :args ((not _let_832))) :args _let_411)) _let_398 _let_620 _let_399 _let_695 _let_627 _let_347 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_346 :args (tptp.a733 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_345)) :args _let_344)) _let_349 :args ((or _let_155 _let_147 _let_186 _let_175 _let_185 _let_497 _let_836 _let_835 _let_609) true _let_827 true _let_112 true _let_114 false _let_116 false _let_834 false _let_117 false _let_473 false tptp.hskp3 true _let_269 true (forall ((X3 $$unsorted)) (or (tptp.c0_1 X3) (tptp.c1_1 X3) (tptp.c3_1 X3))) true _let_268 true _let_490 false _let_265 true _let_751 false _let_9 false _let_10 false _let_11 true _let_747 false _let_12 true _let_742 true _let_743 true _let_744 false tptp.hskp25 true _let_586 true _let_745 true _let_248 true _let_833 true _let_153 true _let_832 true _let_162 true _let_462 false _let_76 true _let_606 false tptp.hskp10 false _let_266 false _let_829 false _let_187)) _let_555 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_553 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_552)) :args _let_551)) (REORDERING (CNF_OR_POS :args (_let_826)) :args ((or _let_180 _let_179 _let_607 (not _let_826)))) _let_368 _let_618 _let_367 _let_347 _let_613 _let_364 _let_349 _let_501 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_308 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_307)) :args _let_306)) _let_502 (REORDERING (CNF_OR_POS :args (_let_825)) :args ((or _let_217 _let_216 _let_220 (not _let_825)))) _let_781 _let_786 _let_787 _let_777 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_427)) :args _let_426)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_427)) :args _let_426)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_163 (= X2 X36)))) (AND_ELIM _let_246 :args (50)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_342 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_341)) :args _let_340)) (REORDERING (CNF_OR_POS :args (_let_818)) :args ((or _let_730 _let_202 _let_204 (not _let_818)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_206 1)) (CONG (REFL :args _let_740) (MACRO_SR_PRED_INTRO :args ((= (not _let_204) _let_203))) :args _let_411)) :args ((or _let_203 _let_206))) _let_739 _let_738 _let_741 _let_736 _let_504 _let_784 _let_785 _let_790 _let_815 _let_814 _let_807 _let_806 :args ((or tptp.hskp1 _let_155 _let_147 _let_146 _let_817 _let_175 _let_180 _let_179 _let_177) true _let_272 false _let_236 false _let_18 true _let_261 false tptp.hskp24 true _let_259 true tptp.hskp23 true _let_320 true _let_23 false _let_258 false _let_254 true _let_270 false _let_57 false _let_251 true _let_269 false tptp.hskp16 true _let_250 true _let_268 true _let_239 false _let_265 true _let_243 false _let_9 false _let_10 false _let_11 false _let_12 false tptp.hskp25 true _let_248 true _let_153 true _let_161 true _let_484 true _let_479 true _let_826 true tptp.hskp13 false _let_603 true _let_62 false _let_266 false _let_604 false _let_264 false _let_187 false _let_124 true _let_185 false tptp.hskp2 true _let_825 true _let_186 false _let_218 true _let_222 false _let_219 false _let_824 false _let_823 false _let_163 false (forall ((X36 $$unsorted)) (or (tptp.c0_1 X36) (tptp.c2_1 X36) (not (tptp.c3_1 X36)))) true _let_323 true _let_818 false _let_203 false _let_201 false _let_729 true _let_206 true _let_731 true _let_447 true _let_217 false _let_215 true _let_223 true _let_224 true _let_812 false _let_29 false tptp.hskp22)) _let_617 _let_616 _let_614 _let_612 _let_352 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_174 (= X28 X37)))) _let_727 _let_741 :args ((or tptp.hskp1 _let_155 _let_147 _let_146) false _let_176 false _let_178 true _let_180 true _let_181 true _let_175 true _let_817 true _let_174 true _let_206)))) (let ((_let_841 (tptp.c1_1 tptp.a746))) (let ((_let_842 (not _let_841))) (let ((_let_843 (or _let_79 _let_77 _let_842))) (let ((_let_844 (or _let_79 _let_841 _let_210))) (let ((_let_845 (MACRO_RESOLUTION_TRUST _let_618 _let_622 _let_613 _let_617 _let_616 _let_614 _let_349 _let_612 _let_352 :args ((or _let_155 _let_174 _let_185 _let_621) true _let_603 false _let_604 false _let_176 false _let_178 true _let_180 false _let_187 true _let_181 true _let_175)))) (let ((_let_846 (MACRO_RESOLUTION_TRUST _let_353 _let_360 _let_771 _let_728 _let_357 _let_520 _let_772 _let_845 _let_514 _let_776 _let_623 _let_506 _let_775 _let_416 _let_415 _let_423 _let_425 _let_414 _let_410 _let_687 _let_725 _let_721 _let_568 _let_571 _let_572 _let_767 _let_757 _let_424 _let_685 _let_684 _let_683 _let_682 _let_245 _let_247 (MACRO_RESOLUTION_TRUST _let_780 _let_353 _let_797 _let_360 _let_715 _let_357 _let_716 _let_845 (MACRO_RESOLUTION_TRUST _let_763 _let_762 _let_548 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_670 :args (tptp.a746 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_669)) :args _let_668)) _let_544 (REORDERING (CNF_OR_POS :args (_let_844)) :args ((or _let_79 _let_210 _let_841 (not _let_844)))) _let_770 (REORDERING (CNF_OR_POS :args (_let_843)) :args ((or _let_79 _let_77 _let_842 (not _let_843)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_543 :args (tptp.a746 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_619)) :args _let_541)) _let_769 _let_434 _let_433 _let_432 _let_540 _let_436 _let_536 _let_602 _let_353 _let_360 _let_357 _let_845 _let_768 _let_539 _let_538 _let_535 _let_530 _let_526 _let_523 _let_522 _let_520 _let_514 _let_623 _let_506 :args ((or tptp.hskp1 _let_155 _let_186 _let_185 _let_702) false _let_758 true _let_473 true _let_140 true _let_472 true _let_844 false _let_440 true _let_841 false _let_843 false _let_760 true _let_77 true _let_79 false _let_81 false _let_462 false _let_82 false _let_461 false tptp.hskp9 true tptp.hskp5 true _let_105 false _let_200 false _let_174 false _let_458 true _let_439 true _let_441 true _let_460 true _let_167 true _let_169 false _let_111 false tptp.hskp4 true tptp.hskp7 true _let_94 false _let_608 false _let_171)) _let_623 _let_840 _let_284 _let_280 _let_278 _let_816 _let_277 _let_279 :args ((or tptp.hskp1 _let_155 _let_137) true tptp.hskp5 false _let_227 true _let_105 false _let_226 false _let_200 false _let_633 false _let_174 false _let_186 false _let_608 false _let_146 true _let_147 true _let_184 false _let_132 true _let_185 false _let_133 true _let_130)) _let_816 _let_815 _let_814 _let_807 _let_806 :args ((or _let_155 _let_137) true _let_105 false tptp.hskp5 false _let_209 false _let_200 true tptp.hskp7 true _let_140 false _let_174 true _let_94 true _let_750 false _let_608 false _let_171 true _let_157 false _let_401 true _let_158 false _let_146 true _let_159 true _let_403 true _let_400 true _let_163 true _let_214 true _let_635 true _let_490 true _let_491 false _let_69 false tptp.hskp11 true _let_746 true _let_408 true _let_407 true _let_637 true _let_125 false _let_127 false _let_128 false _let_129 false tptp.hskp1 true _let_185 true _let_224 true _let_812 false _let_29 false tptp.hskp22)))) (let ((_let_847 (not _let_45))) (let ((_let_848 (or _let_43 _let_41 _let_847))) (let ((_let_849 (not _let_848))) (let ((_let_850 (not _let_46))) (let ((_let_851 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_26 _let_24 _let_150 (not _let_154)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_389 :args (tptp.a797 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_388)) :args _let_387)) (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_26 _let_149 _let_151 (not _let_152)))) _let_274 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_283 :args (tptp.a797 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_282)) :args _let_281)) _let_275 _let_840 _let_247 _let_690 (MACRO_RESOLUTION_TRUST _let_707 _let_706 _let_710 _let_651 _let_711 _let_299 _let_696 _let_301 _let_704 _let_302 _let_703 _let_305 _let_622 _let_309 _let_617 _let_616 _let_614 _let_845 _let_612 _let_357 _let_360 _let_353 (AND_ELIM _let_246 :args (86)) (AND_ELIM _let_246 :args (19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_848)) :args ((or _let_43 _let_41 _let_847 _let_849))) (REORDERING (CNF_AND_POS :args (_let_46 3)) :args ((or _let_42 _let_850))) (REORDERING (CNF_AND_POS :args (_let_46 2)) :args ((or _let_44 _let_850))) (REORDERING (CNF_AND_POS :args (_let_46 1)) :args ((or _let_45 _let_850))) :args ((or _let_850 _let_849) true _let_41 true _let_43 false _let_45)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_547 :args (tptp.a777 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_546)) :args _let_545)) _let_763 _let_762 _let_520 _let_514 _let_623 _let_506 _let_671 _let_667 _let_663 _let_660 _let_659 _let_276 _let_846 :args ((or _let_155 _let_702) false tptp.hskp6 true _let_100 false _let_644 false _let_647 false _let_239 false _let_462 false _let_237 true _let_449 true tptp.hskp21 true _let_645 true _let_34 true _let_603 false _let_234 false _let_176 false _let_178 true _let_180 false _let_185 true _let_181 true _let_174 true _let_200 false _let_105 false tptp.hskp5 true tptp.hskp19 true _let_46 false _let_848 false _let_473 false _let_758 true tptp.hskp7 true _let_94 false _let_608 false _let_171 true _let_140 true _let_139 true _let_85 false _let_88 false tptp.hskp8 true tptp.hskp0 true _let_134)) _let_677 _let_675 _let_676 _let_674 _let_671 _let_667 _let_663 _let_664 _let_660 _let_659 _let_276 _let_846 _let_811 _let_810 _let_809 _let_807 _let_806 :args (_let_155 false _let_154 true _let_150 false _let_153 false _let_152 false _let_148 false _let_147 true tptp.hskp1 true _let_129 true _let_146 false _let_141 true _let_143 true _let_144 true _let_145 true _let_140 true _let_139 true _let_85 false _let_87 false _let_88 false tptp.hskp8 true tptp.hskp0 true _let_134 true _let_24 true _let_26 false _let_28 false _let_29 false tptp.hskp22)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_659 (MACRO_RESOLUTION_TRUST _let_660 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_88 0)) :args ((or tptp.ndr1_0 _let_661))) _let_851 :args (_let_661 true tptp.ndr1_0)) :args (_let_89 true _let_88)) (MACRO_RESOLUTION_TRUST _let_276 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_134 0)) :args ((or tptp.ndr1_0 _let_137))) _let_851 :args (_let_137 true tptp.ndr1_0)) :args (_let_135 true _let_134)) :args (false true tptp.hskp8 true tptp.hskp0)) :args (_let_136 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.51/0.73 )
% 0.51/0.73 % SZS output end Proof for SYN451+1
% 0.51/0.74 % cvc5---1.0.5 exiting
% 0.51/0.74 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------